42105566 has 24 divisors (see below), whose sum is σ = 67874016. Its totient is φ = 19584000.

The previous prime is 42105563. The next prime is 42105599. The reversal of 42105566 is 66550124.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55691 + ... + 56441.

It is an arithmetic number, because the mean of its divisors is an integer number (2828084).

Almost surely, 2^42105566 is an apocalyptic number.

42105566 is a deficient number, since it is larger than the sum of its proper divisors (25768450).

42105566 is a wasteful number, since it uses less digits than its factorization.

42105566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 42105566 is about 6488.8801807400. The cubic root of 42105566 is about 347.8936511689.

The spelling of 42105566 in words is "forty-two million, one hundred five thousand, five hundred sixty-six".